Aptitude and Reasoning Questions

Q:

If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2?

A) 45 B) 109
C) 117 D) 126
 
Answer & Explanation Answer: C) 117

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A labourer can do a job in 50 hours. After 5 hours he takes a break. What fraction of the job is yet to be done?

A) 0.8 B) 0.5
C) 0.75 D) 0.9
 
Answer & Explanation Answer: D) 0.9

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x2-13x-189=0 II. 2y2-3y-189=0

A) x>y B)  x≥y
C)  x<y D) x≤y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?

A) 5 : 3 B) 4 : 1
C) 2 : 1 D) 7 : 3
 
Answer & Explanation Answer: A) 5 : 3

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Two cars travel from city A to city B at a speed of 24 and 32 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 288 km B) 360 km
C) 240 km D) 192 km
 
Answer & Explanation Answer: C) 240 km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.

Demonstration

A) Moon B) Most
C) Train D) Damage
 
Answer & Explanation Answer: D) Damage

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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams

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Q:

If I walk at 7/6 of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office?

 

A) 60 B) 75
C) 90 D) 105
 
Answer & Explanation Answer: D) 105

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

In a class of 60 students there are 20 girls who scored an average of 40 marks in the test, what is the average marks of the boys if the class average is 60 marks?

A) 60 B) 70
C) 50 D)
 
Answer & Explanation Answer: B) 70

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Filed Under: Average
Exam Prep: Bank Exams

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